A card is selected from a standard deck of 52 playing cards. A standard deck of cards has 12 face cards and four Aces (Aces are not face cards). Find the probability of selecting


· an even number ten or less given the card is a not a heart.
· a five given the card is a face card.
· an Ace, given that the card is red.

How can a 5 be a face card? Probability = 0.

If two cards are selected from a deck without replacement, find the probability of selecting a 4 and a king

^~^ hiya

To find the probability of selecting a certain card, we need to know the total number of favorable outcomes and the total number of possible outcomes.

1. Probability of selecting an even number ten or less given the card is not a heart:
- Total number of favorable outcomes: There are 5 even numbers (2, 4, 6, 8, and 10) that are less than or equal to 10 and are not hearts.
- Total number of possible outcomes: Since we are excluding hearts, there are 52 cards in the deck - 13 hearts = 39 non-heart cards.
- Probability = Number of favorable outcomes / Number of possible outcomes
- Probability = 5 / 39

2. Probability of selecting a five given the card is a face card:
- Total number of favorable outcomes: There are 4 face cards (J, Q, K) of each suit in a deck, so a total of 4 x 4 = 16 face cards. However, we need to find the probability of selecting the specific card "five," so there is only 1 favorable outcome.
- Total number of possible outcomes: There are 12 face cards and 52 cards in total.
- Probability = Number of favorable outcomes / Number of possible outcomes
- Probability = 1 / 52

3. Probability of selecting an Ace given that the card is red:
- Total number of favorable outcomes: There are 2 red Aces.
- Total number of possible outcomes: There are 26 red cards (13 hearts + 13 diamonds) in the deck.
- Probability = Number of favorable outcomes / Number of possible outcomes
- Probability = 2 / 26

Note: Remember that probabilities are expressed as fractions, decimals, or percentages.

5x3=15 15/52

4/52= 1/13
2/52= 1/26